Finding the Fourth Proportional to 17,706, 24,434.15 and 10,540.83

Step by Step Solution

1. Step 1: Write the proportion equation
   17,706 : 24,434.15 = 10,540.83 : x
2. Step 2: Convert to fraction form
   17,706/24,434.15 = 10,540.83/x
3. Step 3: Cross multiply
   17,706x = 24,434.15 × 10,540.83
4. Step 4: Simplify right side
   17,706x = 257,556,168.64
5. Step 5: Solve for x
   x = 257,556,168.64/17,706
6. Step 6: Final answer
   x = 14,546.27